Jamal Easter, Guy Nsungu (p) and Andrea Ferretti scored the goals as City won todays Pontins Holiday League match at Ashton Gate.
Easter opened the scoring, Nsungu scored from the penalty spot before Bristol pulled one back.
The clincher came from Andrea Ferretti.
The reserves have won all five games played since Jan 1st.
City line up.
Margetson, Darlington, Jacobsen, Whitley, Anthony, Parslow, Easter, Mulryne, Nsungu, Ferretti, McDonald.